Abstract
Statistical analyses involving multiple predictors are generalizations of simpler techniques developed for investigating associations between outcomes and single predictors. Although many of these should be familiar from basic statistics courses, we review some of the key ideas and methods here as background for the methods covered in the rest of the book and to introduce some basic notation.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Devore, J. and Peck, R. (1986). Statistics, the Exploration and Analysis of Data. West Publishing Co., St. Paul, MN.
Efron, B. and Tibshirani, R. (1986). Bootstrap measures for standard errors, confidence intervals, and other measures of statistical accuracy. Statistical Science, 1, 54–77.
Fleiss, J. L. (1988). One-tailed versus two-tailed tests: rebuttal. Controlled Clinical Trials, 10, 227–228.
Freedman, D., Pisani, R., Purves, R. and Adhikari, A. (1991). Statistics. W. W. Norton & Co, Inc., New York.
Freireich, E. J., Gehan, E., Frei, E. I., Schroeder, L. R., Wolman, I. J., Anbari, R., Burgert, E. O., Mills, S. D., Pinkel, D., Selawry, O. S., Moon, J. H., Gendel, B. R., Spurr, C. L. and Storrs, R. (1963). The effect of 6-mercaptopurine on the duration of steroid-induced remissions in acute leukemia: a model for the evaluation of other potentially useful therapy. Blood, 21, 699–716.
Frost, C. and Thompson, S. G. (2000). Correcting for regression dilution bias: comparison of methods for a single predictor variable. Journal of the Royal Statistical Society, Series A, General, 163(2), 173–189.
Hoenig, J. M. and Heisey, D. M. (2001). The abuse of power: the pervasive fallacy of power calculations for data analysis. The American Statistician, 55(1), 19–24.
Holcomb, W. L. J., Chaiworapongsa, T., Luke, D. A. and Burgdorf, K. D. (2001). An odd measure of risk: use and misuse of the odds ratio. Obstetrics and Gynecology, 98, 685–688.
Hulley, S., Grady, D., Bush, T., Furberg, C., Herrington, D., Riggs, B. and Vittinghoff, E. (1998). Randomized trial of estrogen plus progestin for secondary prevention of heart disease in postmenopausal women. The Heart and Estrogen/progestin Replacement Study. Journal of the American Medical Association, 280(7), 605–613.
Jewell, N. P. (2004). Statistics for Epidemiology. Chapman & Hall/CRC, Boca Raton, FL.
Marubini, E. and Valsecchi, M. G. (1995). Analysing Survival Data from Clinical Trials and Observational Studies. John Wiley & Sons, New York, Chichester.
Miller, R. G., Gong, G. and Munoz, A. (1981). Survival Analysis. John Wiley & Sons, New York, Chichester.
O’Brien, T. R., Busch, M. P., Donegan, E., Ward, J. W., Wong, L., Samson, S. M., Perkins, H. A., Altman, R., Stoneburner, R. L. and Holmberg, S. D. (1994). Heterosexual transmission of human immunodeficiency virus type i from transfusion recipients to their sexual partners. Journal of AIDS, 7, 705–710.
Pagano, M. and Gavreau, K. (1993). Principles of Biostatistics. Wadsworth Publishing Co., Belmont, CA.
Rosenman, R. H., Friedman, M., Straus, R., Wurm, M., Kositchek, R., Hahn, W. and Werthessen, N. T. (1964). A predictive study of coronary heart disease: the western collaborative group study. Journal of the American Medical Association, 189, 113–120.
Vanderpump, M. P., Tunbridge, W. M., French, J. M., Appleton, D., Bates, D., Clark, F., Grimley Evans, J., Rodgers, H., Tunbridge, F. and Young, E. T. (1996). The development of ischemic heart disease in relation to autoimmune thyroid disease in a 20-year follow-up study of an english community. Thyroid, 6, 155–160.
Fleiss, J. L., Levin, B. and Paik, M. C. (2003). Statistical Methods for Rates and Proportions, 3rd Edition. John Wiley & Sons, New York, Chichester, 4th ed.
Friedman, L. M., Furberg, C. D. and Demets, D. L. (1998). Fundamentals of Clinical Trials. Springer, New York, 3rd ed.
Rothman, K. J. and Greenland, S. (1998). Modern Epidemiology. Lippincott Williams & Wilkins Publishers, Philadelphia, PA, 2nd ed.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2012 Springer Science+Business Media, LLC
About this chapter
Cite this chapter
Vittinghoff, E., Glidden, D.V., Shiboski, S.C., McCulloch, C.E. (2012). Basic Statistical Methods. In: Regression Methods in Biostatistics. Statistics for Biology and Health. Springer, Boston, MA. https://doi.org/10.1007/978-1-4614-1353-0_3
Download citation
DOI: https://doi.org/10.1007/978-1-4614-1353-0_3
Published:
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4614-1352-3
Online ISBN: 978-1-4614-1353-0
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)